On the coding gain of intra-predictive transforms

  • Authors:

  • Jizheng Xu;Feng Wu;Wenjun Zhang

  • Affiliations:

  • Institute of Image Communication and Inf. Processing, Dept. of Electronic Eng., Shanghai Jiao Tong Univ. and Shanghai Key Laboratory of Digital Media Processing and Transmissions, Shanghai Jiao To ...;Microsoft Research Asia;Institute of Image Communication and Information Processing, Department of Electronic Engineering, Shanghai Jiao Tong University and Shanghai Key Laboratory of Digital Media Processing and Transmi ...

  • Venue:
  • ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
  • Year:
  • 2009

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Abstract

Intra-predictive transforms are a kind of block-based transforms that can exploit both the intra- and inter-block correlations. This paper analyzes the coding gains of intra-predictive transforms for the Gaussian process. The tight upper bound of the coding gain is derived, which is shown to be better than both the discrete cosine transform and the Karhunen Loève transform. The optimal intra-predictive transform that achieves the upper bound is also presented. Actual coding results on images verify the effectiveness of the optimal intra-predictive transform.